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Finding the Fourth Proportional to 2,142.44, 3,211.97 and 987.38

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Solution

The fourth proportional to 2,142.44, 3,211.97 and 987.38 is: 1,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.44 : 3,211.97 = 987.38 : x
  2. Step 2: Convert to fraction form
    2,142.44/3,211.97 = 987.38/x
  3. Step 3: Cross multiply
    2,142.44x = 3,211.97 × 987.38
  4. Step 4: Simplify right side
    2,142.44x = 3,171,413.94
  5. Step 5: Solve for x
    x = 3,171,413.94/2,142.44
  6. Step 6: Final answer
    x = 1,480.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.